Nationwide, in one year there were about 21,500 residential fires associated with furniture. Of these, 11,350 were caused by smoking materials. About what percent of the residential fires were smoking related?

- 47%
- 49%
- 50%
- 51%
- 53%

**Answer(s):** E

**Explanation:**

Division is used to arrive at a decimal, which can then be rounded to the nearest hundredth and converted to a percentage: 11,350 divided by 21,500 = 0.5279.

0.5279 rounded to the nearest hundredth is 0.53, or 53%.

Jerry was 1/3 as young as his grandfather 15 years ago. If the sum of their ages is 110, how old is Jerry’s grandfather?

- 80
- 75
- 65
- 60
- 50

**Answer(s):** B

**Explanation:**

This uses two algebraic equations to solve for the age. Jerry (J) and his grandfather (G) have a sum of ages of 110 years. Therefore, J + G = 110. Jerry was one- third as young as his grandfather 15 years ago. Therefore, J 15 = 1/3 (G 15). Solve the first equation for J: J = 110-G. Now substitute this value of J into the second equation: 110 G 15 = 1/3 (G 15). Solve for G: 95 G = 1/3 G 5; 100 = 4/3 G; G = 75.

Solve for x in the following equation: 1/3 x + 3 = 8.

- 33
- 15
- 11
- 3
- 11/3

**Answer(s):** B

**Explanation:**

1/3 x + 3 = 8. In order to solve the equation, all numbers need to be on one side and all x values on the other. Therefore, 1/3 x = 5; x = 15.

Use the diagram below to answer the question.

What is the perimeter of the figure shown above?

- 17
- 20
- 30
- 40
- 60

**Answer(s):** C

**Explanation:**

In order to find the perimeter, the hypotenuse of the triangle must be found. This comes from recognizing that the triangle is a 5-12-13 triangle, or by using the

Pythagorean theorem. 5 + 12 + 13 = 30.